Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2002-08-05
Phys.Rev. C66 (2002) 054001
Physics
Nuclear Physics
Nuclear Theory
20 pages, 7 Postscript figures, fig.1 is corrected, uses relax.sty
Scientific paper
10.1103/PhysRevC.66.054001
The pending question of the existence of three-neutron resonances near the physical energy region is reconsidered. Finite rank neutron-neutron forces are used in Faddeev equations, which are analytically continued into the unphysical energy sheet below the positive real energy axis. The trajectories of the three-neutron S-matrix poles in the states of total angular momenta and parity J^\pi=1/2 +- and J^\pi= 3/2 +- are traced out as a function of artificial enhancement factors of the neutron-neutron forces. The final positions of the S-matrix poles removing the artificial factors are found in all cases to be far away from the positive real energy axis, which provides a strong indication for the nonexistence of nearby three-neutron resonances. The pole trajectories close to the threshold E=0 are also predicted out of auxiliary generated three-neutron bound state energies using the Pad\'e method and agree very well with the directly calculated ones.
Gloeckle Walter
Hemmdan A.
Kamada Hiroyuki
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